SOME RESULTS ON THE LIAPUNOV STABILITY OF FUNCTIONAL EQUATIONS
Division of Mathematical and Computer Sciences National Science Foundation Washington, D.C. and Division of Applied Mathematics Brown University Providence, Rhode Island
DOI: 10.1201/9781003420026-5
1 INTRODUCTION
It is well known that it is possible to obtain a wealth of asymptotic results for dynamical systems if one has available an appropriate Liapunov functional. Indeed, a large number of abstract results are available, results which yield specific stability properties for the dynamical system under consideration if a Liapunov functional with certain characteristics is available. Conversely, it is known that if a dynamical system has certain stability properties, ...
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